2i 6 Gen . Roy’s Account of 
horizontal angles at each flat ion obferved 'very accurately , and the 
latitude of one of the fiat ions given nearly . 
The difference of longitude between Botley Hill and Goud- 
hurft, found as above, if 3 6 x .7 5 , being augmented by the 
value of the (mail arc comprehended between the meridians of 
Greenwich and Botley Hill = 1" .7, we have ultimately 
2 7 ' ■$<)''• 4*5 for the longitude of Goudhurft, eaftward trom 
Greenwich. 
Art. IX. Difference between obfrved angles on the new fpheroid 
and that of M. Bouguer. 
Laftly, on the fubjeft of thefe companions, let us fee what 
would be the difference between the obferved angles at B andG, 
as determined on the new fpheroid and on that oi M. Bouguer ? 
The latitudes of B and G on M. Bouguer’s fpheroid would 
refpedively be 51 0 \6 / 4i // »54 and 51 0 6" 49' .66 nearly, and 
the angle BPG, or difference of longitude, would ben 27 
26 // .i 8. Now, this laft angle, with the two co-latitudes PB 
and PG, as containing fides, and fuppofed to form a ipherical 
triangle, will give the angles at B and G refpedively 119^ 3 1 / 
26 ".47 and 6o° f .3". 18. But the obferved angles at thefe 
ftations would be 119 0 n / 32A97 and 6o° 16' 5 6 x/ .6 8 , the 
common difference between them being f 53A5, which 
is 32G5 greater than f 1\'\ as was before determined. 
Hence we may conclude, that in this new fpheroid, 
founded immediately on the recent geodetical meafure- 
ments and obfervations of the pole-ftar made at Botley 
Hill and Goudhurft, the verticals from B and G meet the 
earth’s axis at a lefs diftance from each other than they would 
In M. Bouguer’s fpheroid. The length of the vertical is 
ihorter as well as the radius of the parallel, whereby Goud- 
hurft, 
